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Finding the Fourth Proportional to 3,544.59, 4,892.13 and 2,053.44

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Solution

The fourth proportional to 3,544.59, 4,892.13 and 2,053.44 is: 2,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.59 : 4,892.13 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    3,544.59/4,892.13 = 2,053.44/x
  3. Step 3: Cross multiply
    3,544.59x = 4,892.13 × 2,053.44
  4. Step 4: Simplify right side
    3,544.59x = 10,045,695.43
  5. Step 5: Solve for x
    x = 10,045,695.43/3,544.59
  6. Step 6: Final answer
    x = 2,834.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.